Search a number
-
+
68164824 = 23371323259
BaseRepresentation
bin1000001000000…
…01110011011000
311202021010120010
410010001303120
5114422233244
610433001520
71455251160
oct404016330
9152233503
1068164824
1135528272
121a9b32a0
1311178420
1490a55a0
155eb6eb9
hex4101cd8

68164824 has 192 divisors, whose sum is σ = 222969600. Its totient is φ = 16904448.

The previous prime is 68164793. The next prime is 68164861. The reversal of 68164824 is 42846186.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155307 + ... + 1155365.

It is an arithmetic number, because the mean of its divisors is an integer number (1161300).

Almost surely, 268164824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68164824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484800).

68164824 is an abundant number, since it is smaller than the sum of its proper divisors (154804776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68164824 is a wasteful number, since it uses less digits than its factorization.

68164824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 68164824 is about 8256.1991255056. The cubic root of 68164824 is about 408.4950258250.

The spelling of 68164824 in words is "sixty-eight million, one hundred sixty-four thousand, eight hundred twenty-four".